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Finding the Fourth Proportional to 471.66, 650.89 and 264.66

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Solution

The fourth proportional to 471.66, 650.89 and 264.66 is: 365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.66 : 650.89 = 264.66 : x
  2. Step 2: Convert to fraction form
    471.66/650.89 = 264.66/x
  3. Step 3: Cross multiply
    471.66x = 650.89 × 264.66
  4. Step 4: Simplify right side
    471.66x = 172,263.89
  5. Step 5: Solve for x
    x = 172,263.89/471.66
  6. Step 6: Final answer
    x = 365.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.